Elements Of Matrix Analysis Of Structures

Elements Of Matrix Analysis Of Structures by V. K. Manickaselvam

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Book Summary:

Matrix Analysis of Structures is a modern language in Civil Engineering. With the advent of electronic computers, matrices have become an of tenused method in various disciplines, of structural analysis. The usefulness of matrices for analysis is due largely to the conciseness in equation representation which they afford. A great advantage of the matrix treatment of structural analysis is that the method is general and can be applied to all forms of rigid and trussed frame workks in two or three dimensions.

Audience of the Book :

This book Useful for Mechanical Engineering Students.

Table of Content:

Part-I

1. Statical Indeterminacy

2. Degree of Freedom

3. Solution of Equations

4. Sign Convention

5. Energy Method for Establishing Stiffness Matrices

6. Equivalent Joint Loads

7. Computation of Reactions

Part-II

1. Basic Concepts of Matrix Analysis of Structures

2. Deflections of Determinate Structures

3. Stactically Indeterminate System

4. Stresses Due to Lack of Fit and Temperature Effects

5. Displacement Method of Analysis

5A. Direct Stiffness Method

6. Frames with Sloping Members

7. Grid Anlaysis

8. Stiffness Matrix Through Potential Energy

9. Unstable Elements

10. Conventional Rayleigh-Ritz Method (CRRM-1908)

11. Improved Rayleigh-Ritz Method (IRRM-1994)

12. Additional Information on Rayleigh-Ritz Method

13. Central Deflection of Simply Supported Beams

14. Central Deflection of Fixed Beams

15. Special Problems

Part-III

1. Introduction

2. The Eular Columns

3. Simple stability Problems

4. Generation of Shape Functions

5. Double Integration Method

6. Single Integration Method (1997)

7. Centre of Gravity Method

8. Method of Weighted Moment of Inertia

9. Method ofSuceesive Approximation

10. Timoshenko's Energy Method

11. The Galerkin Method

12. Finite Difference Method

13. ImperfectApproach

14. Empircial formulae for column Design

15. Effect of Shearing Force on the Critical Load

16. Beam-Columns

17. Stability Functions

18. Single Joint Method (SJM)

19. Energy Method of Finding Critical Loads of Frames

20. Buckling of thin Plates

21. Post Bukling of Plates

22. Torsional Bukling

23. Real Work and Principle of Virtual Displacement

24. Critical loads of plates using the Energy Method (1997)

25. Improved Energy Method for Finding the Critical Load of Nonsway Frames Hinged at the Bottom

26. Buckling of Thin Rings

27. Applications of Potential Energy Concepts Columns (1998)

28. Stodola's Method

Appendices 

References